Physics (AS & A Level) · Oct / Nov 2018 · Paper 41 · Question 3

A U-tube contains liquid, as shown in Fig. 3.1. liquid liquid L x x Fig. 3.1 Fig. 3.2 The total length of the column of liquid in the tube is L. The column of liquid is displaced so that the change in height of the liquid in each arm of the U-tube is x, as shown in Fig. 3.2. The liquid in the U-tube then oscillates with simple harmonic motion such that the acceleration a of the column is given by the expression a = – L g 2 e o x where g is the acceleration of free fall.

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